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Simplifying 9(3 + 4w) = 6w + -3(7 + -8w) (3 * 9 + 4w * 9) = 6w + -3(7 + -8w) (27 + 36w) = 6w + -3(7 + -8w) 27 + 36w = 6w + (7 * -3 + -8w * -3) 27 + 36w = 6w + (-21 + 24w) Reorder the terms: 27 + 36w = -21 + 6w + 24w Combine like terms: 6w + 24w = 30w 27 + 36w = -21 + 30w Solving 27 + 36w = -21 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 27 + 36w + -30w = -21 + 30w + -30w Combine like terms: 36w + -30w = 6w 27 + 6w = -21 + 30w + -30w Combine like terms: 30w + -30w = 0 27 + 6w = -21 + 0 27 + 6w = -21 Add '-27' to each side of the equation. 27 + -27 + 6w = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 6w = -21 + -27 6w = -21 + -27 Combine like terms: -21 + -27 = -48 6w = -48 Divide each side by '6'. w = -8 Simplifying w = -8
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